Solve for x...........................................................

The answer of the following questions is discussed below

Area of a circle is the region covered or enclosed within its boundary. It is measured in square units.

The radius of each circle

r1= 2.5 inches.

r2= 1 inches

Area of circle large circle,

= πr1²

=3.14*2.5*2.5

=19.625 inch²

Area of small circle,

= πr2²

= 3.14*1*1

=3.14 inch²

Area of large circle minus area of small circle,

= 16.485  inch²

Learn more about this concept here:

https://brainly.com/question/18271719

#SPJ1

The angular measure L is : 47°

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

[tex]m^{2}[/tex] = [tex]510^{2}[/tex] + [tex]820^{2}[/tex] -2(510)(820) cos 20

[tex]m^{2}[/tex] = 260100 + 672400 -83600(0.9396)

[tex]m^{2}[/tex] = 146618.56

m = [tex]\sqrt{146618.56}[/tex] = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

#SPJ1

Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

Answer:

*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)

a) A = 6000[1 + (0.08 × 5)] = 8400

b) A = $8,400.00

Answer:

  a) $2400

  b) $8400

Step-by-step explanation:

The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.

__

The simple interest is given by the formula ...

  I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years

For this investment, the interest is ...

  I = $6000·0.08·5 = $2400

The simple interest amounts to $2400.

__

The amount collected at the end of 5 years is the principal plus interest:

  P +I = $6000 +2400 = $8400

The total collected is $8400.

Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.

The range of a data-set is given by the difference of the greatest value by the smallest.

In the data-set 10, 30, 15, 17, and 18, we have that:

Hence the range is given by:
R = 30 - 10 = 20.

More can be learned about the range of a set of numbers at https://brainly.com/question/24732674

#SPJ1

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0  (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50

Step-by-step explanation:

Hope this helps

:3 have an amazing day or a beautiful day:)

The probability of coin landing with heads is an independent event.

The probability of winning 1st and 2nd prize is a dependent event.

Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.

Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.

To learn more about independent events, please check: https://brainly.com/question/13075229

#SPJ1

Answer:

(f+g)(x) = 3x^2+x+1

Step-by-step explanation:
It may look hard at first, but all the question is asking you to do is add both of the equations together.

(f+g)(x) = (3x^2-1) + (x+2)
(f+g)(x) = 3x^2+x+1

So we replace "x" with the necessary value (3):

[tex]f(3) \: = \: 2 \: \times \: 3[/tex]

[tex]f(3) \: = \: \boxed{ \bold{6}}[/tex]

[tex]\text{Opción A. } \boxed{ \bold{55}}[/tex]

The experimental probability of spinning a 7 is 0%

From the complete question, we  have:

n(7) = 0

The above means that the number 7 is not on the spinner.

So, it is impossible to spin a 7

Hence, the experimental probability of spinning a 7 is 0%

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

The material wasted is 7915.375 sq cm.

The product of its length and breadth.

Area = length* breadth

Given:

length= 150 ac, breadth = 100 cm

d= 0.9m 5cm

r= 47.5 cm

Area of rectangle,

= l * b

= 150*100

= 15000 sq. cm

Area of Circular cloth,

= πr²

=3.14*47.5*47.5

=7084.625 sq cm.

Hence, the wasted material is = 15000-7084.625

                                                  = 7915.375 sq cm

Learn more about area here:

https://brainly.com/question/15275277

#SPJ1

Answer:

y

[tex]y = - 2 x + 5[/tex]

Step-by-step explanation:

Hope this will help :)

Answer:

8 hrs.

Step-by-step explanation:

He has to spend $9, so 57+9=66. The closest multiple of 9 over 66 is 9x8=72. So, Reuben has to spend 8 hrs.

In a data set, the proportion of items that are in a particular category is called the Relative Frequency

Frequency mean how often an event can occur , an relative frequency means how many times that event will occur with respect to the total number of events.

For determining Relative frequency , we need to know the frequency for a particular event and the total number of event.

The proportion of items that are in a particular category is called the Relative Frequency.

To know more about Relative Frequency

https://brainly.com/question/16832475

#SPJ1

Answer:

0.81

Step-by-step explanation:

how this helps!

btw: you spelled truly wrong

Answer:

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

The first attachment shows the coefficient matrix and its determinant.

__

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

  [tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]

This multiplication is shown in the second attachment. It tells us ...

  [tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]

Answer:

It is the third option

Step-by-step explanation:

Trust me

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

The number of ways there are to get to the point (7,4) if you have to pass through the point (2,2) is; 1266 ways

The formula to get the number of ways to get to the lattice point (x, y) (supposing x, y ≥ 0) by taking steps of one unit each either in the eastward or northward direction is exactly;

(x + y)

          = (x + y)!/(x!y!)

(   x   )

Thus, number of ways from (0, 0) to (2, 2) = (2 + 2)!/(2!2!) = 6 ways

Number of ways to get to point (7,4) from (2, 2) is;

((7 - 2) + (4 - 2))!/(2!2!) = 7!/(2!2!) = 1260

Thus, total number of ways = 1266 ways

Read more about Lattice paths at; https://brainly.com/question/2109763

#SPJ4

The weekday hours you purchased is 5 hours.

The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.

2a + 10b = 220 equation 1

a + b = 26 equation 2

Where:

Multiply equation 2 by 10

10a + 10b = 260 equation 3

Subtract equation 3 from equation 2

8a = 40

a = 5 hours

(5 x 3) + b = 26

15 + b = 26

b = 26 - 15

b = 11 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

Answer:

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

[tex]\frac{2x+1}{2x-1} =2\\(\frac{2x+1}{2x-1} )(2x-1)=2(2x-1)\\2x+1 = 4x-2\\2x+1-4x=4x-2-4x\\-2x+1=-2\\-2x+1-1=-2-1\\-2x=-3\\x=\frac{-3}{-2} \\=1.5 or \frac{3}{2}[/tex]

The slope is the change in vertical axis of a graph to its horizontal axisor the rise to run of a line.

The slope is the change in vertical axis of a graph to its horizontal axis. This can also be the rise to run of a line.

The formula for calculating the slope of a line is given asL

Slope = rise/run

It can also be expressed as:

Slope = change in y-axis/change in x-axis

Learn more on slope here: https://brainly.com/question/3493733

#SPJ1

The total value of Daniel's large assets is $59,600

From the question, we are to determine the total value of Daniel's assets

From the given information,

Daniel has $600 in a checking account and he has $12,000 in a savings account.

He also owns a $12,000 car and a $35,000 house

Then,

The total value of his assets = $600 + $12,000 + $12,000 + $35,000

The total value of his assets = $59,600

Hence, the total value of Daniel's large assets is $59,600

Learn more on Calculating Total assets here: https://brainly.com/question/23182201

#SPJ1

Answer: 47,000

Step-by-step explanation:

large assets: House+car

12,000+35,000=47,000

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

Learn more on Solving equations here: https://brainly.com/question/26831160

#SPJ1